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2\left(x+2\right)=3x
Multiply both sides of the equation by 6, the least common multiple of 3,2.
2x+4=3x
Use the distributive property to multiply 2 by x+2.
2x+4-3x=0
Subtract 3x from both sides.
-x+4=0
Combine 2x and -3x to get -x.
-x=-4
Subtract 4 from both sides. Anything subtracted from zero gives its negation.
x=4
Multiply both sides by -1.